Product Bases in Quantum Information Theory

Details Product Bases in Quantum Information Theory Product Bases in Quantum Information Theory

2000-08-11

arxiv.org/abs/quant-ph/0008055v1

Physics

Quantum Physics

9 pages, 4 figures; submitted to the Proceedings of the XIII International Congress on Mathematical Physics

Scientific paper

We review the role of product bases in quantum information theory. We prove
two conjectures which were made in DiVincenzo et al., quant-ph/9908070, namely
the existence of two sets of bipartite unextendible product bases, in arbitrary
dimensions, which are based on a tile construction. We pose some questions
related to complete product bases.

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